Flexion and skewness in map projections of the earth

Cartographica

Volumn 42, Issue 4, 2007, Pages 297-318

  Goldberg, David M ^a   Gott III, J Richard ^b  

^a DREXEL UNIVERSITY   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Curvature; Earth; Indicatrices; Maps; Projection

Indexed keywords

CURVATURE; ISOTROPY; MAP; SKEWNESS; VISUAL ANALYSIS;

TISSOT;

EID: 39049106712     PISSN: 03177173     EISSN: None     Source Type: Journal    
DOI: 10.3138/carto.42.4.297     Document Type: Article

References (23)

1. Airy, G.B. 1861. "Explanation of a Projection by Balance of Errors for Maps Applying to a Very Large Extent of the Earth's Surface; and Comparison of This Projection with Other Projections." Philosophical Magazine (ser. 4) 2/149: 409-21.
2. Albinus, H.-J. 1981. "Anmerkungen und Kritik zur Entfernungsverzerrung." Kartographische Nachrichten 31: 179-83.
3. Bugayevskiy, L.M., and J.P. Snyder. 1995. Map Projections: A Reference Manual. London: Taylor & Francis. 55-57.
4. Canters, F. 1989. "New Projections for World Maps: A Quantitative-Perceptive Approach." Cartographica 26/2: 53-71.
5. Canters, F. 2002. "Small-Scale Map Projection Design." Research Monographs in Geographical Information Systems. New York: Taylor & Francis. 96-99187-220.
6. Chamberlin, W. 1947. The Round Earth on Flat Paper: Map Projections Used by Cartographers. Washington, DC: National Geographic Society.
7. Fisher, I., and O.M. Miller. 1944. World Maps and Globes. New York: Essential Books.
8. Gedymin, A.B. 1946. Kartographiya. Moscow.
9. Goldberg, D.M., and D.J. Bacon. 2005. "Galaxy-Galaxy Flexion: Weak Lensing to Second Order." Astrophysical Journal 619: 741-48.
10. Gott, J.R., W. Colley, C.-G. Park, C. Park, and C. Mugnolo. 2007. "Genus Topology of the Cosmic Microwave Background from the WMAP 3-Year Data." Manuscript submitted for publication. Available at http://www.arxiv.org/abs/astro-ph/0610764
11. Gott, J.R., M. Jurić, D. Schlegel, F. Hoyle, M. Vogeley, M. Tegmark, N. Bahcall, and J. Brinkmann. 2005. "A Map of the Universe." Astrophysical Journal 624: 463-84.
12. Gott, J.R., C. Mugnolo, and W.N. Colley. 2007. "Map Projections Minimizing Distance Errors." Cartographica 42: 219-234.
13. Kavrayskiy, V.V. 1958. Izbrannye trudy, vol. II: Mathematicheskaja kartografija, part 1: Obscaja teorija kartograficheskih projekcij, Izdaniye Nachal'nika Upraveleniya, Gidrograficheskoy Sluzhby Voyenno-morskoy Akademii.
14. Laskowski, P. 1997a. "Part 1: Distortion-Spectrum Fundamentals: A New Tool for Analyzing and Visualizing Map Distortions." Cartographica 34/3/monograph 50: 3-18.
15. Laskowski, P. 1997b. "Part 2: Distortion-Spectrum Applications: Projections Cross-breeding." Cartographica 34/3 monograph 50: 19-39.
16. Oxford-Hammond Atlas of the World. 1993, Toronto: University of Oxford Press.
17. Peters, A.B. 1975. "Wie manunsere Weltkarten der Erde ähnlicher machen kann." Kartographische Nachrichten 25: 173-83.
18. Peters, A.B. 1978. "Uber Weltkartenverzerrunngen und Weltkartenmittelpunkte." Kartographische Nachrichten 28: 106-13.
19. Reeves, E.A. 1910. Maps and Map-Making. London: Royal Geographical Society.
20. Snyder, J.P. 1993. Flattening the Earth. Chicago: University of Chicago Press.
21. Stewart, J.Q. 1943. "The Use and Abuse of Map Projections." Geographical Review 33: 589-604.
22. Tissot, Nicolas A. 1881. Mémoire sur la représentation des surfaces et les projections des cartes géographiques. Paris: Gauthier Villars.
23. Tobler, W.R. 1964. Geographical Coordinate Computations, Part II: Finite Map Projection Distortions. Technical Report No. 3, ONR Task No. 389-137. Ann Arbor: Department of Geography, University of Michigan.